I'm reminded of when I finally gave up trying to make my 1st marriage work and relented to the requested separation. I told her I'd be happy to accept a legal separation and I wouldn't give her any trouble with the boys. She could come visit them anytime she wanted. after her initial shock she realized I wasn't going to roll over and let her dictate any terms. I got what I wanted, 50/50 joint legal and physical custody.
I think full custody and minimal supervised visitation would be a much better starting point for negotiations and I would be surprised if your lawyer isn't suggesting the same.